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Finding the Fourth Proportional to 882.11, 1,322.16 and 685.65

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Solution

The fourth proportional to 882.11, 1,322.16 and 685.65 is: 1,027.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.11 : 1,322.16 = 685.65 : x
  2. Step 2: Convert to fraction form
    882.11/1,322.16 = 685.65/x
  3. Step 3: Cross multiply
    882.11x = 1,322.16 × 685.65
  4. Step 4: Simplify right side
    882.11x = 906,539.00
  5. Step 5: Solve for x
    x = 906,539.00/882.11
  6. Step 6: Final answer
    x = 1,027.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.